The entire plot of "The Exterminating Angel" hinges on an inexplicable phenomenon: after a dinner party, none of the wealthy guests can bring themselves to leave the host's music room. There is no physical barrier, only a psychological one. As days pass, their refined manners dissolve completely. They smash a water pipe in the wall to drink, burn furniture and a cello for warmth, and capture and roast sheep that have mysteriously wandered into the house. One elderly guest, Sergio, dies of natural causes and his body is hidden in a closet. A young engaged couple, Eduardo and Beatriz, commit suicide together in another closet.
The group's paranoia escalates, and a faction, led by Raúl, decides that the host, Edmundo Nóbile, is the cause of their curse and must be sacrificed. Just as they are about to kill him, a guest named Leticia has a moment of clarity. She realizes that everyone is in the exact same position they were in on the first night, just after the piano recital. She convinces the group to meticulously re-enact their conversations and actions from that moment. After they complete this bizarre ritual of repetition, the spell is broken, and they are suddenly able to walk out of the room and leave the mansion.
The final, devastating twist comes in the last scene. The survivors attend a Te Deum mass at a cathedral to give thanks for their deliverance. As the service concludes, it becomes clear that they—along with the entire congregation and the clergy—are now trapped inside the church. Outside, riot police are seen suppressing a demonstration. The film ends with a flock of sheep entering the cathedral, implying that the cycle of mindless ritual and inexplicable confinement is beginning all over again, this time on a larger, societal scale. The hidden meaning is that their 'escape' was temporary and illusory; humanity is perpetually trapped by its social and religious structures, doomed to repeat its folly.